\documentclass{ctexart}
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\title{2.9.2 Programming assignments Report}
\author{张祺 3210104145}

\begin{document}
\maketitle

\subsection*{B}
\begin{figure}[H]
  \centering
  \includegraphics[scale=0.4]{figure/B.eps}
  \caption{$f(x)=\frac{1}{1+x^2}$与其以$x_i=-5+10\frac{i}{n}$为节点生成的多项式}
  \label{figB}
\end{figure}
As shown in Figure \ref{figB}, with the increase of n, the polynomial fitted by Newton interpolation appears more and more obvious Runge phenomenon at the boundary.

\subsection*{C}
\begin{figure}[H]
  \centering
  \includegraphics[scale=0.4]{figure/C.eps}
  \caption{$f(x)=\frac{1}{1+25x^2}$与其以$x_i=cos(\frac{2i-1}{2n}\pi)$为节点生成的多项式}
  \label{figC}
\end{figure}
As shown in Figure \ref{figC}, it's obvious to observe that the Chebyshev interpolation is free of the wide oscillations in the previous assignment.

\subsection*{D}
(a) t = 10s, Distance = 742.503 feet, Speed = 48.3817 feet peer second.\par
(b) The car exceeds the speed limit.

\subsection*{E}
\begin{figure}[thbp!]
  \centering
  \begin{minipage}[t]{0.49\linewidth}
    \centering
    \includegraphics[width=0.9\linewidth]{figure/E_1.eps}
    \caption{0-28日平均质量预测曲线}
    \label{figE1}
  \end{minipage}
  \begin{minipage}[t]{0.49\linewidth}
    \includegraphics[width=0.9\linewidth]{figure/E_2.eps}
    \caption{0-50日平均质量预测曲线}
    \label{figE2}
  \end{minipage}
\end{figure}

As shown in Figure \ref{figE2}, all of the two samples of larvae won't die after another 15 days.\par
But in Figure \ref{figE1}, we can observe that the average weight of the sample1 is negative between 1-6 day, which doesn't accord with our actual situation. Therefore, the polynomial fitted by the Newtonian difference cann't describe the change of the average weight well.


\end{document}
